A template method for Fourier coefficients of Langlands Eisenstein series

This paper introduces the template method for computing the first coefficient of Langlands Eisenstein series on GL(n, R) and more generally on Chevalley groups over the adele ring of Q. In brief, the first coefficient of Borel Eisenstein series can be used as a template to compute the first coefficient of more general Eisenstein series by elementary linear algebra calculations.